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130232333232 = 243219109436693
BaseRepresentation
bin111100101001001110…
…0111011001110110000
3110110011010002222220100
41321102130323032300
54113203434130412
6135454454512400
712260164365501
oct1712234731660
9413133088810
10130232333232
115025a836571
12212a6665700
13c38606cb11
1464362a6ba8
1535c3457edc
hex1e5273b3b0

130232333232 has 120 divisors (see below), whose sum is σ = 387172900400. Its totient is φ = 40748603904.

The previous prime is 130232333207. The next prime is 130232333281. The reversal of 130232333232 is 232333232031.

130232333232 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 323 + 332 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130232333196 and 130232333205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79878 + ... + 516570.

Almost surely, 2130232333232 is an apocalyptic number.

130232333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130232333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193586450200).

130232333232 is an abundant number, since it is smaller than the sum of its proper divisors (256940567168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130232333232 is a wasteful number, since it uses less digits than its factorization.

130232333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436835 (or 436826 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 130232333232 its reverse (232333232031), we get a palindrome (362565565263).

The spelling of 130232333232 in words is "one hundred thirty billion, two hundred thirty-two million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 456 654 684 872 912 981 1308 1368 1744 1962 2071 2616 2736 3924 4142 5232 6213 7848 8284 12426 15696 16568 18639 24852 33136 37278 49704 74556 99408 149112 298224 436693 873386 1310079 1746772 2620158 3493544 3930237 5240316 6987088 7860474 8297167 10480632 15720948 16594334 20961264 24891501 31441896 33188668 47599537 49783002 62883792 66377336 74674503 95199074 99566004 132754672 142798611 149349006 190398148 199132008 285597222 298698012 380796296 398264016 428395833 571194444 597396024 761592592 856791666 904391203 1142388888 1194792048 1713583332 1808782406 2284777776 2713173609 3427166664 3617564812 5426347218 6854333328 7235129624 8139520827 10852694436 14470259248 16279041654 21705388872 32558083308 43410777744 65116166616 130232333232